1)Using IEEE 754 representation for single precision floating point, give the 32- bit binary encoding for the numbers below. Show the sign, exponent, and mantissa (significand). a. -2.40625 b. 11.2265625   2) Given the following binary number: 1101.0111, what will be its decimal number equivalent?

Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number): Convert -43.0735 to the floating-point binary representation. (Remember we learned "implied one" format in the lecture)

Q5

1) Find the equivalent decimal value of the following floating-point representation using IEEE 754 standard single-precision (32-bit floating-point number with bias = 127)  1 0111 1111 1110 0000 0000 0000 0000 000 (The quiz is expecting a decimal numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.)   2) Find an IEEE 754 floating-point representation of -74.2 decimal number. Enter 32 bits without a space.  (The quiz is expecting a fill in the blank text string in the entry box and grades on an exact match with the expected result. The answer should be formatted as a 32-bit IEEE 745 binary number representation)